Continuous Dependence on Data for Solutions of Second Order Differential Equations in Hilbert Spaces

In this paper we prove that the solution u of the boundary value problem u0 t. gAu t. a.e. tg 0, T. u 0.su0, u T.su1 is continuous in a certain sense, with respect to A, u0, u1, where A is a maximal monotone operator in a Hilbert space H. The main result is Theorem 3.1.